Markov analysis of redundant standby safety systems under periodic surveillance testing

Alam, 1982, Quantitative evaluation of nuclear-reactor protective-equipment using Markov approach, IEEE Trans Reliab, 31, 112, 10.1109/TR.1982.5221254 Becker, 1994, A Markov type model for systems with tolerable down times, J Opt Res Soc, 45, 1168, 10.1057/jors.1994.186 Becker, 2000, A semi-Markovian model allowing for inhomogenities with respect to process time, Reliab Eng Syst Safety, 70, 41, 10.1016/S0951-8320(00)00044-2 Berg, 2009, Overview on the different applications of probabilistic safety assessment for nuclear power plants, Kerntechnik, 74, 106, 10.3139/124.110024 Boehme, 1991, On a simple numerical method for computing Stieltjes integrals in reliability theory, Probab Eng Inf Sci, 5, 113, 10.1017/S0269964800001935 Bukowski, 2001, Modeling and analyzing the effects of periodic inspection on the performance of safety-critical systems, IEEE Trans Reliab, 50, 321, 10.1109/24.974130 Čepin, 1997, Probabilistic safety assessment improves surveillance requirements in technical specifications, Reliab Eng Syst Safety, 56, 69, 10.1016/S0951-8320(96)00138-X Čepin, 2002, Evaluation of allowed outage time considering a set of plant configurations, Reliab Eng Syst Safety, 78, 259, 10.1016/S0951-8320(02)00168-0 Cho, 2008, Effect of the surveillance test frequency of SDS1 on the core damage probability, Nucl Technol, 161, 98, 10.13182/NT08-A3916 Cho, 2008, Analysis of surveillance test interval by Markov process for SDSI in CANDU nuclear power plants, Reliab Eng Syst Safety, 93, 1, 10.1016/j.ress.2006.10.007 Contini, 2013, IEC 61508, Chem Eng Trans, 33, 487 Csenki, 1995, An integral equation approach to the interval reliability of systems modelled by finite semi-Markov processes, Reliab Eng Syst Safety, 47, 37, 10.1016/0951-8320(94)00039-Q Eaton, 2008 Component reliability data for use in probabilistic safety assessment. IAEA-TECDOC-478. Vienna: The International Atomic Energy Agency; 1988. Risk informed regulation of nuclear facilities: overview of the current status. IAEA-TECDOC-1436. Vienna: The International Atomic Energy Agency; 2005. Liu, 2011, Reliability assessment of safety instrumented systems subject to different demand modes, J Loss Prevent Process Ind, 24, 49, 10.1016/j.jlp.2010.08.014 Liu, 2013, Reliability effects of test strategies on safety-instrumented systems in different demand modes, Reliab Eng Syst Safety, 119, 235, 10.1016/j.ress.2013.06.035 Fleming KN. A reliability model for common mode failures in redundant safety systems. In: Proceedings of the sixth annual Pittsburgh conference on modeling and simulation, Report GA-A 13284, 23-25, General Atomic Company, San Diego, CA; 1975. Fleming, 1983, On the analysis of dependent failures in risk assessment and reliability evaluation, Nucl Safety, 24, 637 Jung, 1991, Semi-Markov reliability analysis of three test/repair policies for standby safety systems in a nuclear power plant, Reliab Eng Syst Safety, 31, 1, 10.1016/0951-8320(91)90033-4 Kumar, 2013, Availability analysis of repairable mechanical systems using analytical semi-Markov approach, Qual Eng, 25, 97, 10.1080/08982112.2012.751606 Mankamo T. Is it beneficial to test/start up the remaining parts of standby safety systems in a failure situation? In: International topical conference on probabilistic safety assessment & risk management, Zürich. Köln: Verlag TÜV Rheinland; 1987. p. 765–70. Martorell, 1995, Improving allowed outage times and surveillance test interval requirements, Reliab Eng Syst Safety, 47, 119, 10.1016/0951-8320(94)00043-N Martorell, 2014, Evaluation of risk impact of changes to surveillance requirements addressing model and parameter uncertainties, Reliab Eng Syst Safety, 126, 153, 10.1016/j.ress.2014.02.003 Nollau, 1981 Norris, 1997 Orlando Gibelli SM, Frutuoso e Melo PF, Bogado Leite SQ. Risk-based allowed outage time and surveillance test interval extensions for Angra I. Int J Qual Stat Reliab 2012;Article 176270. Papazoglu, 2000, Semi-Markovian reliability models for systems with testable components and general test/outage times, Reliab Eng Syst Safety, 68, 121, 10.1016/S0951-8320(00)00003-X Pardoux, 2008 Rausand, 2004 Ridley, 1999, Optimal design of systems with standby dependencies, Qual Reliab Eng Int, 15, 103, 10.1002/(SICI)1099-1638(199903/04)15:2<103::AID-QRE235>3.0.CO;2-3 Somani AK, Palnitkar S, Sharma T. Reliability modeling of systems with latent failures using Markov chains. In: Proceedings of annual North American Reliability and Maintainability Symposium; 1993. p. 120–5. Tomasevicz CL, Asgarpoor S. Preventive maintenance using continuous-time semi-Markov processes. In: Proceedings of annual North American power symposium; 2006. p. 3–8. Verlinden, 2012, Hybrid reliability model for a nuclear reactor safety system, Reliab Eng Syst Safety, 101, 35, 10.1016/j.ress.2012.01.004